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Finding the Third Proportional to 101,538 and 148,841

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Solution

The third proportional to 101,538 and 148,841 is: 218,180.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538 : 148,841 = 148,841 : x
  2. Step 2: Convert to fraction form
    101,538/148,841 = 148,841/x
  3. Step 3: Cross multiply
    101,538x = 148,841 × 148,841
  4. Step 4: Simplify right side
    101,538x = 22,153,643,281
  5. Step 5: Solve for x
    x = 22,153,643,281/101,538
  6. Step 6: Final answer
    x = 218,180.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.